Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490w |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-95310229824000 = -1 · 29 · 38 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -7 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-617,-469591] |
[a1,a2,a3,a4,a6] |
Generators |
[87:316:1] |
Generators of the group modulo torsion |
j |
-35578826569/130741056000 |
j-invariant |
L |
6.1373425430839 |
L(r)(E,1)/r! |
Ω |
0.27257911108469 |
Real period |
R |
1.2508789586221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43920cf2 1830c2 27450v2 |
Quadratic twists by: -4 -3 5 |